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Integrals Calculus Maths Problems and Solutions

Many students find Integrals for Calculus particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Integrals from for Calculus preparation.

Calculus
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Question
Level
Action
Function h is graphed. Find $$\int_{2}^{2} h(x) d x$$ ![](http://admin.getprephub.com/media/editor/......
Level 1
Approximate the area between $${f}({x})$$ and the $${x}$$-axis from $${x}=-4$$ to $${x}=2$$ using a ......
Level 1
Approximate the area between the $${X}$$-axis and $${h}({x})=x^{3}+2$$ from $${x}=-1$$ to $${x}=5 $$......
Level 1
Function $$g$$ is graphed. Find $$\int_{0}^{5}-2 g(x) d x$$ ![](http://admin.getprephub.com/media/e......
Level 2
Function h is graphed. Find $$\int_{7}^{4} h(x) d x$$ ![](http://admin.getprephub.com/media/editor/i......
Level 2
Function $$g$$ is graphed. Find $$\int_{0}^{4} g(x) d x$$. Give an exact answer as a multiple of $$\......
Level 2
This is the graph of $${f}$$. Let $$g(x)=\int_{0}^{x} f(t) d t$$, What is an appropriate calculus-ba......
Level 2
This is the graph of $$f$$.Let $$g(x)=\int_{0}^{x} f(t) d t$$, What is an appropriate calculus-based......
Level 2
If $$F(x)=\int_{0}^{x^{3}} \sin (t) d t$$, evaluate $$F^{/}(x)$$ ......
Level 2
If $$F(x)=\int_{4}^{x^{2}}(3 t^{2}+2 t) d t$$, evaluate $$F^{\prime}(x)$$ ......
Level 2
This is the graph of f. Let $$g(x)=\int_{0}^{x} f(t) d t$$, What is an appropriate calculus-based ju......
Level 2
This is the graph of $$f$$. Let $$g(x)=\int_{0}^{x} f(t) d t$$, What is an appropriate calculus-base......
Level 2
Function $$g$$ is graphed. Find $$\int_{-4}^{-1} g(x) d x$$ ![](http://admin.getprephub.com/media/e......
Level 2
Function $${f}$$ is graphed. Find $$\int_{-5}^{-1} f(x) d x$$ ![](http://admin.getprephub.com/media/......
Level 2
Function $$g$$ is graphed. Find $$\int_{0}^{2} g(x) d x$$. Give an exact answer as a multiple of $$\......
Level 2
The graph h is shown below. Find $$\int_{-9}^{-3} h(x) d x$$ ![](http://admin.getprephub.com/media/......
Level 2
Function $$g \ h$$ are graphed. Find $$\int_{0}^{5}[g(x)+h(x)] d x$$ ![](https://cdn.mathpix.com/cr......
Level 2
The graph of function $${f}$$ is given along with the area of each region the graph forms with the $......
Level 2
Given that, $$H(x)=|\frac{x}{2}|, h(x)=H^{/}(x)$$, evaluate $$\int_{-6}^{-2} h(x) d x$$ ......
Level 2
Find the function if the antiderivative is $$H(t)=\ln (12 t^{2}-12)+C$$, where $${C}$$ is constant. ......
Level 2